Results 51 to 60 of about 1,267 (106)
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In this work, consideration is given to the initial value problem associated with the periodic fifth‐order KdV–BBM equation. It is shown that the uniform radius of spatial analyticity σ(t) of solution at time t is bounded from below by ct−2/3 (for some c > 0), given initial data η0 that is analytic on the circle and has a uniform radius of spatial ...
Tegegne Getachew, Giovanni P. Galdi
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International Journal of Stochastic Analysis, Volume 7, Issue 1, Page 1-12, 1994., 1993 We discuss the existence, uniqueness, and continuous dependence on data, of anti‐periodic traveling wave solutions to higher order two‐dimensional equations of Korteweg‐deVries type.
Sergiu Aizicovici +2 more
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, 2014 In this paper, we propose a new fractional Jacobi elliptic equation method to seek exact solutions of fractional partial differential equations. Based on a traveling wave transformation, certain fractional partial differential equation can be turned into
B. Zheng
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Forum of Mathematics, Sigma, 2015 We introduce a novel solution concept, denoted ${\it\alpha}$-dissipative solutions, that provides a continuous interpolation between conservative and dissipative solutions of the Cauchy problem for the two-component Camassa–Holm system on the line with ...
KATRIN GRUNERT +2 more
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The mathematical models of problems that arise in many branches of science are nonlinear equations of evolution (NLEE). For this reason, NLEE have served as a language in formulating many engineering and scientific problems. Although the origin of nonlinear evolution equations dates back to ancient times, significant developments have been made in ...
Murat Koparan, Salim A. Messaoudi
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The equations of some dispersionless limit [PDF]
, 1995 This short article presents a table of new equations which can be regarded as the generalized equations of the dispersionless limit of several nonlinear equations.
Son, Seung Hwan
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Gevrey Regularity of the Global Attractor for Damped Forced KdV Equation on the Real Line
, 2018 We consider here a weakly damped KdV equation on the real line with forcing term that belongs to some Gevrey space. We prove that the global attractor is also contained into such a space of analytic functions.
O. Goubet
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Communications in Computational Physics, 2019 We consider a midpoint scheme to approximate analytical solutions to a white noise driven BBM equation that reads du−duxx+ux◦dW+uuxdt=0. We prove the well-posedness of the time-discrete approximation scheme and we provide the strong error order, which is
Guillaume Fenger
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, 2000 We present here an overview for the Encyclopaedia of Mathematics of the various forms and properties of this system of equations together with its geometric and Lie algebraic ...
Helminck, G.F.
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The periodic b-equation and Euler equations on the circle
, 2010 In this note we show that the periodic b-equation can only be realized as an Euler equation on the Lie group Diff(S^1) of all smooth and orientiation preserving diffeomorphisms on the cirlce if b=2, i.e. for the Camassa-Holm equation.
Arnold V. I. +2 more
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